If, for the given data set, if the mean is 6, find the value of x. 2, 5, 9, 7, x
To find the value of x, we can use the formula for the mean:
Mean = (sum of all values) / (number of values)
In this case, the given mean is 6 and there are 5 values in the data set. The sum of the given values 2, 5, 9, 7 and x is 2 + 5 + 9 + 7 + x.
Thus, the equation to solve is:
6 = (2 + 5 + 9 + 7 + x) / 5
Multiplying both sides by 5 gives:
30 = 2 + 5 + 9 + 7 + x
Combining like terms gives:
30 = 23 + x
To solve for x, subtract 23 from both sides of the equation:
30 - 23 = x
7 = x
Therefore, the value of x is 7.
To find the value of x in the data set given that the mean is 6, let's start by finding the sum of the numbers in the data set.
Sum of the numbers = 2 + 5 + 9 + 7 + x
Since the mean is defined as the sum of the numbers divided by the total count, we can set up the following equation:
(2 + 5 + 9 + 7 + x) / 5 = 6
To solve for x, we can start by multiplying both sides of the equation by 5 to eliminate the denominator:
2 + 5 + 9 + 7 + x = 5 * 6
This simplifies to:
23 + x = 30
Now, we can isolate x by subtracting 23 from both sides of the equation:
x = 30 - 23
Therefore, x = 7.
Hence, the value of x in the given data set is 7.